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Simplifying 5(2f + 6) + -75 = 10(f + -4.5) Reorder the terms: 5(6 + 2f) + -75 = 10(f + -4.5) (6 * 5 + 2f * 5) + -75 = 10(f + -4.5) (30 + 10f) + -75 = 10(f + -4.5) Reorder the terms: 30 + -75 + 10f = 10(f + -4.5) Combine like terms: 30 + -75 = -45 -45 + 10f = 10(f + -4.5) Reorder the terms: -45 + 10f = 10(-4.5 + f) -45 + 10f = (-4.5 * 10 + f * 10) -45 + 10f = (-45 + 10f) Add '45' to each side of the equation. -45 + 45 + 10f = -45 + 45 + 10f Combine like terms: -45 + 45 = 0 0 + 10f = -45 + 45 + 10f 10f = -45 + 45 + 10f Combine like terms: -45 + 45 = 0 10f = 0 + 10f 10f = 10f Add '-10f' to each side of the equation. 10f + -10f = 10f + -10f Combine like terms: 10f + -10f = 0 0 = 10f + -10f Combine like terms: 10f + -10f = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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